Search a number
-
+
146224 = 24131937
BaseRepresentation
bin100011101100110000
321102120201
4203230300
514134344
63044544
71146211
oct435460
9242521
10146224
119a951
1270754
1351730
143b408
152d4d4
hex23b30

146224 has 40 divisors (see below), whose sum is σ = 329840. Its totient is φ = 62208.

The previous prime is 146221. The next prime is 146239. The reversal of 146224 is 422641.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (146221) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3934 + ... + 3970.

It is an arithmetic number, because the mean of its divisors is an integer number (8246).

2146224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 146224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164920).

146224 is an abundant number, since it is smaller than the sum of its proper divisors (183616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

146224 is a wasteful number, since it uses less digits than its factorization.

146224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 71 counting only the distinct ones).

The product of its digits is 384, while the sum is 19.

The square root of 146224 is about 382.3924685451. The cubic root of 146224 is about 52.6832898087.

Adding to 146224 its reverse (422641), we get a palindrome (568865).

It can be divided in two parts, 1 and 46224, that added together give a square (46225 = 2152).

The spelling of 146224 in words is "one hundred forty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 16 19 26 37 38 52 74 76 104 148 152 208 247 296 304 481 494 592 703 962 988 1406 1924 1976 2812 3848 3952 5624 7696 9139 11248 18278 36556 73112 146224